Sampling and Sampling Distributions Quiz – 7

Sampling Quiz is about Basics of Sampling and Sampling Distributions. It will help you to understand the basic concepts related to sampling methods and sampling distributions. This test will also help you to prepare yourself for different exams related to education or jobs.

1. In sampling without replacement, $\mu_{s^2}$ is equal to

 
 
 
 

2. If $X$ represent the number of units having the specified characteristic and $N$ is the size of the population, then population proportion $p$ is equal to

 
 
 
 

3. When sampling is done with or without replacement, $E(\hat{p}_1 – \hat{p}_2)$ is equal to

 
 
 
 

4. In sampling with replacement, $\sigma_{\overline{X}_1 – \overline{X}_2}$ is equal to

 
 
 
 

5. When sampling is done without replacement $\sigma_{\overline{X}}$ is equal to

 
 
 
 

6. When sampling is done with replacement, then $\mu_{s^2}$ is equal to

 
 
 
 

7. If $\overline{X}=10$ and $\mu=12$ then sampling error is

 
 
 
 

8. When sampling is done with or without replacement, $\mu_{\overline{X}_1-\overline{X}_2}$ is equal to

 
 
 
 

9. In sampling without replacement, the expected value of $S^2$ is equal to

 
 
 
 

10. $s^2=\frac{\sum(X-\overline{X})^2}{n-1}$ is called

 
 
 
 

11. The standard deviation of the distribution of sample means is equal to

 
 
 
 

12. If $E(\overline{X})=10$ and $\mu=10$ then bias is equal to

 
 
 
 

13. If $X$ represent the number of units having the specified characteristic and $n$ is the size of the sample then sample proportion $\hat{p}$ is equal to

 
 
 
 

14. In case of sampling with replacement $\sigma_{\hat{p}_1 – \hat{p}_2}$ is equal to

 
 
 
 

15. In sampling without replacement, the standard error of sampling distribution of sample proportion $\hat{p}$ is equal to

 
 
 
 

16. $S^2=\frac{\sum (X-\overline{X})^2}{n}$ is called

 
 
 
 

17. If $E(s^2)=3$ and $\sigma^2=2$ then bias will be

 
 
 
 

18. The distribution of the means of samples of size 4, taken from a population with a standard deviation $\sigma$, has a standard deviation of

 
 
 
 

19. If $n=25$, $\sigma^2=25$, and $\overline{X}=25$, then standard error of $\overline{X}$ will be

 
 
 
 

20. In case of sampling with replacement, $E(S^2)$ is equal to

 
 
 
 

MCQs Sampling and Sampling Distribution

MCQs sampling for the preparation of exams and different statistical job tests in Government/ Semi-Government or Private Organization sectors. These tests are also helpful in getting admission to different colleges and Universities.

Most of the MCQs on this page are covered from Sampling and Sampling Distributions, Probability Sampling and Non-Probability Sampling, Mean and Standard Deviation of Sample, Sample size, Sampling error, Sample bias, Sample Selection, etc.

Muhammad Imdad Ullah

Currently working as Assistant Professor of Statistics in Ghazi University, Dera Ghazi Khan. Completed my Ph.D. in Statistics from the Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan. l like Applied Statistics, Mathematics, and Statistical Computing. Statistical and Mathematical software used is SAS, STATA, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

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